期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 221, 期 -, 页码 121-131出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2013.06.016
关键词
Block pulse functions; Operational matrix; Fractional partial differential equation; Sylvester equation; Error analysis; Numerical solution
In this paper, we first introduce two dimensional block pulse functions and the block pulse operational matrices of the fractional order integration. Also the block pulse operational matrices of the fractional order differentiation are obtained. Then we present a computational method based on the above results for solving a class of fractional partial differential equations. Transforming the initial equation into a Sylvester equation. The error analysis of the method is given. The method is computationally attractive and applications are demonstrated by some numerical examples. Moreover, comparing the methodology with the known technique shows that our approach is more efficient and more convenient. (C) 2013 Elsevier Inc. All rights reserved.
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